- #1
Feeh
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I want to model a Differential Equation for a projectile motion under 2 forces (gravity and wind)
So, what I have now is an algorithm that simulate the parametric motion (2d) of the project under those 2 forces (given a P position of the projectile with velocity V under a vector of forces F (or acceleration as my projectiles have no mass), find a new position for each time T)
(Link to the motion simulation example: http://s12.postimg.org/wbr8tyej1/projectile.png)
I want to model it as a differential equation. If possible with these variants:
1- basic differential equation projectile motion with no wind, just gravity...the quadratic equation from basic physics should be the solution to it
2- the "complete" form with wind and gravity as I described
3- add drag force. I know that the equation may have no solution
I've learned to solve them but not to model them; if you could give me or point a good textbook that show how to model it I'd be glad
So, what I have now is an algorithm that simulate the parametric motion (2d) of the project under those 2 forces (given a P position of the projectile with velocity V under a vector of forces F (or acceleration as my projectiles have no mass), find a new position for each time T)
(Link to the motion simulation example: http://s12.postimg.org/wbr8tyej1/projectile.png)
I want to model it as a differential equation. If possible with these variants:
1- basic differential equation projectile motion with no wind, just gravity...the quadratic equation from basic physics should be the solution to it
2- the "complete" form with wind and gravity as I described
3- add drag force. I know that the equation may have no solution
I've learned to solve them but not to model them; if you could give me or point a good textbook that show how to model it I'd be glad
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